Fast scramblers and ultrametric black hole horizons View Full Text


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Article Info

DATE

2013-11

AUTHORS

José L. F. Barbón, Javier M. Magán

ABSTRACT

We propose that fast scrambling on finite-entropy stretched horizons can be modeled by a diffusion process on an effective ultrametric geometry. A scrambling time scaling logarithmically with the entropy is obtained when the elementary transition rates saturate causality bounds on the stretched horizon. The so-defined ultrametric diffusion becomes unstable in the infinite-entropy limit. A formally regularized version can be shown to follow a particular case of the Kohlrausch law. More... »

PAGES

163

References to SciGraph publications

  • 2007-09-26. Black holes as mirrors: quantum information in random subsystems in JOURNAL OF HIGH ENERGY PHYSICS
  • 2008-10-15. Fast scramblers in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-10. Fast scramblers of small size in JOURNAL OF HIGH ENERGY PHYSICS
  • 1989-09. Non-archimedean strings and Bruhat-Tits trees in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2012-08. Fast scramblers, horizons and expander graphs in JOURNAL OF HIGH ENERGY PHYSICS
  • 2013-04. Towards the fast scrambling conjecture in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-07. Fast scramblers and non-commutative gauge theories in JOURNAL OF HIGH ENERGY PHYSICS
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    http://scigraph.springernature.com/pub.10.1007/jhep11(2013)163

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    http://dx.doi.org/10.1007/jhep11(2013)163

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